Happy holidays from us to you—get up to $30 off your next print or eBook! Shop now >>

Lecture Notes in Geosystems Mathematics and Computing

Waves in Continuous Media

Authors: Gavrilyuk, S. L., Makarenko, N.I., Sukhinin, S.V.

  • This book aims to promote a problem solving approach to teaching the wave propagation in continuous media
  • This book contains more than 200 problems covering mostly compressible fluid mechanics and surface wave propagation in incompressible (homogeneous or non) fluids
  • Answers each problem considered as a new material to deeper understanding qualitative and quantitative properties of wave models rather than a simple application of the methods presented
see more benefits

Buy this book

eBook 63,06 €
price for India (gross)
  • ISBN 978-3-319-49277-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 74,99 €
price for India (gross)
  • ISBN 978-3-319-49276-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants and  conservation laws for  quasilinear systems of equations, construct and analyze solutions with weak or strong discontinuities, and how to investigate equations with dispersion and to construct travelling wave solutions for models reducible to nonlinear evolution equations.

Chapter 3 deals with surface and internal waves in an incompressible fluid. The efficiency of mathematical methods is demonstrated on a hierarchy of approximate submodels generated from the Euler equations of homogeneous and non-homogeneous fluids.

The self-contained presentations of the material is complemented by 200+ problems of different level of difficulty, numerous illustrations, and bibliographical recommendations.

About the authors

Sergey Gavrilyuk is professor at the Aix-Marseille III University, Marseille, France

Nikolai MAKARENKO is professor at the Lavrentyev Institute of Hydrodynamics Siberian Branch of the Russian Academy, Novosibirsk, Russia

Sergey SUKHININ is professor at the Lavrentyev Institute of Hydrodynamics Russian Academy of Sciences, Novosibirsk, Russia

Reviews

“This book is a graduate level text based upon a lecture course on waves in continuous media with particular emphasis on fluid media. It is aimed at students of applied mathematics, mechanics and geophysics. … Waves in a stratified fluid and stability of such waves are also discussed. A number of instructive examples and exercises are given that may be useful for the targeted audience.” (Fiazud Din Zaman, zbMATH 1364.76003, 2017)


Table of contents (3 chapters)

Buy this book

eBook 63,06 €
price for India (gross)
  • ISBN 978-3-319-49277-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 74,99 €
price for India (gross)
  • ISBN 978-3-319-49276-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Waves in Continuous Media
Authors
Series Title
Lecture Notes in Geosystems Mathematics and Computing
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-49277-3
DOI
10.1007/978-3-319-49277-3
Softcover ISBN
978-3-319-49276-6
Edition Number
1
Number of Pages
VIII, 141
Number of Illustrations
15 b/w illustrations
Topics